Coursera Spring Sale
40% Off Coursera Plus Annual!
Grab it
This 38-minute lecture features Aldo Garcia Guinto of Michigan State University presenting "Schreier's Formula for some Free Probability Invariants" at IPAM's Free Entropy Theory and Random Matrices Workshop at UCLA. Recorded on February 28, 2025, the talk explores a formula relating von Neumann dimensions in the context of trace-preserving actions of finite groups on tracial von Neumann algebras. Discover how this formula, reminiscent of Schreier's formula for finite index subgroups of free groups, connects to dimDerc(A,τ) defined by Shlyakhtenko and Δ defined by Connes and Shlyakhtenko. Explore how these quantities relate to free entropy dimension quantities across various examples, and how combining these results with known inequalities expands the family of examples where these quantities agree. For more information about this workshop, visit the Institute for Pure & Applied Mathematics (IPAM) website.
